Non-extensive statistical distributions of charmed meson production in Pb–Pb and pp($$\overline{\text {p}}$$) collisions

The mid-rapidity transverse-momentum spectra of charmed meson in Pb-Pb and pp($\overline{\text{p}}$) collisions are analyzed by Tsallis-Pareto distribution derived from non-extensive statistics. We perform uniform descriptions for both small large systems over a wide range collision energy hadron transverse momentum. By establishing the relation between event multiplicity Tsallis parameters, we observe that there is significant linearity thermal temperature Tsallis-q parameter at $\sqrt{s_{NN}}$ = 2.76 TeV 5.02 TeV. And slope T $-$ (q - 1) positively correlated with mass. In addition, charm mesons have higher than light hadrons same q 1, indicating flavor requires to achieve degree as flavors heavy-ion collision. fit performed momentum distribution. It found increases system while shows saturated trend stops limit, 1 0.142 $\pm$ 0.010. Meanwhile, results most peripheral approach which suggests less medium effect more similarity collisions.